{
  "annotation_id": "424dc137-e1dc-4c86-b9c9-2e004a0660bd",
  "date_created": "2026-03-02T18:02:30.493000Z",
  "date_modified": "2026-03-02T18:02:30.493000Z",
  "file_hash": "3ee395cfe1c903baf9ba5afc480f5ed9c4b6ffb27c304d8ebd58be420fbb848d",
  "private": false,
  "record": {
    "abstract": "A displacement operator d_\\zeta is introduced, verifying commutation\nrelations [d_\\zeta, a_f^\\dagger]=[d_\\zeta, a_f]=\\zeta(f)d_\\zeta with field\ncreation and annihilation operators that verify [a_f,a_g]=0,\n[a_f,a_g^\\dagger]=(g,f), as usual. f and g are test functions, \\zeta is a\nPoincare invariant real-valued function on the test function space, and (g,f)\nis a Poincare invariant Hermitian inner product. The *-algebra generated by all\nthese operators, and a state defined on it, nontrivially extends the *-algebra\nof creation and annihilation operators and its Fock space representation. If\nthe usual requirement for linearity is weakened, as suggested in\nquant-ph/0512190, we obtain a deformation of the free quantum field.",
    "arxiv_id": "quant-ph/0610077",
    "authors": [
      "Peter Morgan"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Displacement deformed quantum fields",
    "url": "https://arxiv.org/abs/quant-ph/0610077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a9742592-8ac1-441b-86bd-327598a5616e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}